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2 years ago

What are the greatest common factor of 4K,18k,and 12

2 answers:

6 0

Greatest common factor or GCF is the greatest factor that divides two numbers. So the get the greatest common factor of the 4k 18k and 12 you need to list the prime factors of each number then multiply both numbers have in common. So the greatest common factor of the numbers is 2

denis-greek [22]2 years ago

3 0

What he said ^^^^^^^^^^^^^^^^^^^^

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Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

$4x-y-2z=-8\\-2x+4z=-4\\x+2y=6$

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

$-2x+4z=-4$

First, divide everything by -2 to simplify things:

$x-2z=2$

Subtract x from both sides. The xs on the left cancel:

$(x-2z)-x=2-x\\-2z=2-x$

Now, divide everything by -2 to isolate the z:

$z=-\frac{2-x}{2}$

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

$x+2y=6$

Subtract x from both sides:

$2y=6-x$

Divide both sides by 2:

$y=\frac{6-x}{2}$

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

$4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8$

Distribute the third term. The -2s cancel out:

$4x-(\frac{6-x}{2})+(2-x)=-8$

Since there is still a fraction, multiply everything by 2 to remove it:

$2(4x-(\frac{6-x}{2})+(2-x))=2(-8)$

Distribute:

$8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16$

Combine like terms:

$8x+x-2x-6+4=-16\\7x-2=-16$

Add 2 to both sides:

$7x=-14$

Divide both sides by 7:

$(7x)/7=(-14)/7\\x=-2$

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

$z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2$

Third equation:

$y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4$

Therefore, the solution is (-2, 4, -2)

3 0

3 years ago

Read 2 more answers

HELP ME PLEASE!!!!<br> ΔAXY ~ ΔABC. What is the value of BC

emmasim [6.3K]

Answer:

BC = 28 $\frac{1}{3}$ ft

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{AX}{AB}$ = $\frac{XY}{BC}$ , substitute values

$\frac{12}{20}$ = $\frac{17}{BC}$ ( cross- multiply )

12BC = 340 ( divide both sides by 12 )

BC = $\frac{340}{12}$ = $\frac{85}{3}$ = 28 $\frac{1}{3}$

6 0

3 years ago

Identify the coefficients in the expression below.<br><br> -6x+5y+4x+9

Montano1993 [528]

Answer:

3 coefficients in this expression are: -2x, 5y and 9 (natural number)

Step-by-step explanation:

-6x + 5y + 4x + 9

= -6x + 4x + 5y + 9

= -2x + 5y + 9

3 coefficients in this expression are: -2x, 5y and 9 (natural number)

Hope this help you :3

5 0

2 years ago

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What does y=2x+3 equal?

posledela

Y = X times 2 + 3 if that's what you're asking so y = 5x
Explanation:
2+3=5 so 5x bc x isn't a number

4 0

2 years ago

Which equation represents the same line as the points in the table

vodomira [7]

Answer:

$y=\frac{-3}{4} x+2$

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

$m=\frac{y2-y1}{x2-x1}$

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

$m=\frac{2-5}{0--4}$

Simplify:

$m=\frac{-3}{4}$

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

$y=\frac{-3}{4} x+2$

7 0

2 years ago

Read 2 more answers